Expected number of outcomes

Kwame tosses a fair coin 200 times.

How many heads would you expect?

Priya throws a fair six-sided dice 300 times.

How many times would you expect to get:

1. a six,
2. a number greater than 4?

The probability that a bus is late is 0.12.

Tamsin catches the bus on 250 days. Work out how many days you would expect the bus to be late.

A biased spinner has four colours. The table shows the probability of each colour.

The spinner is spun 80 times. Work out the number of times you expect it to land on:

1. blue,
2. green or yellow.

Jin spins a four-sided spinner 120 times. The table shows his results.

1. Write down the relative frequency of the spinner landing on 2.
2. Use the results to estimate how many times the spinner will land on 3 in 600 spins.

The probability that a bus is late on any day is 0.15.

Nadia catches this bus on 40 days.

Work out an estimate for the number of days the bus is late.

Zoe and Tom each drop the same drawing pin and record how often it lands point up.

1. Using all the results, work out the best estimate of the probability that the pin lands point up.
2. The pin is dropped 800 times. Estimate how many times it lands point up.

Ibrahim rolls a biased dice 200 times. It lands on a six 44 times and on a five 36 times.

1. Estimate the probability that the dice lands on a five or a six.
2. Estimate how many times it lands on a five or a six in 1500 rolls.

Tyrone spins a coin 10 times and gets 7 heads. Fiona spins the same coin 500 times and gets 262 heads.

1. Whose results give the better estimate of the probability of heads? Give a reason.
2. Use the better estimate to work out how many heads to expect in 1000 spins.

A bag contains only red counters and blue counters in the ratio 3 : 5.

Hana takes a counter at random, notes its colour and puts it back. She does this 160 times.

How many times would you expect her to take a red counter?

Three friends each play a game with their own spinner. The probability of winning is shown for each spinner.

Each person plays 200 times.

1. Who is expected to win the most games?
2. How many games is this person expected to win?

A five-sided spinner can land on 1, 2, 3, 4 or 5.

The table shows some of the probabilities.

1. Work out the probability that the spinner lands on 5.
2. The spinner is spun 300 times. Work out an estimate for the number of times it lands on 5.

A box contains white, black, silver and gold beads.

The probability of picking each colour at random is shown in the table.

There are 12 white beads in the box.

1. Work out the total number of beads in the box.
2. Work out the number of black beads in the box.

A four-sided spinner can land on 1, 2, 3 or 4.

The table shows some of the probabilities.

1. Work out the probability that the spinner lands on 4.
2. The spinner is spun 200 times. Work out an estimate for the number of times it lands on 4.

A bag contains only red, green and yellow counters.

The number of green counters is 4 times the number of red counters.

The number of yellow counters is 6 more than the number of red counters.

A counter is taken from the bag at random.

The probability that it is red is 18.

Work out the number of yellow counters in the bag.